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3 years ago

If A : B = 4 : 5 and B : C = 3 : 2, find A : B : C.

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

12 : 15 : 10

Step-by-step explanation:

Let A = 4x, the B = 5x

Let B = 3y, then C = 2y

B = 5x = 3y, so y = (5/3)x

Let x = 3t, so y = 5t

Then A = 4x = 4(3t) = 12t

B = 5x = 5(3t) = 15t

C = 2y = 2(5t) = 10t

so A : B : C = 12t : 15t : 10t = 12 : 15 : 10

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Help need ASAP!! Thanks!! Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangl

Basile [38]

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

$x=y+5$ ----> equation A

$120=xy+2x^{2}+2y^{2}$ ---> equation B (area of the constructed figure)

substitute the equation A in equation B

$120=(y+5)y+2(y+5)^{2}+2y^{2}$

$120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0$

using a graphing tool -----> solve the quadratic equation

see the attached figure

The solution is

$y=2\ cm$

Find the value of x

$x=y+5$ ----> $x=2+5=7\ cm$

Find the perimeter of rectangle

$P=2(x+y)=2(7+2)=18\ cm$

8 0

3 years ago

Factorise completely<br> 12y² + 4y

otez555 [7]

Step-by-step explanation:

$12y^{2} + 4y \\4y( \frac{12y^{2} }{4y} + \frac{4y}{4y} ) \\ 4y(3y + 1)$

8 0

2 years ago

Read 2 more answers

I REALLY NEED SOME HELP! PLEASE GUYS I WILL DO ANYTHING! BRAINLIEST!

denis-greek [22]

I’m pretty sure the answer is d or c

5 0

3 years ago

An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and tur

den301095 [7]

Answer:

24 feet

Step-by-step explanation:

We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.

We have to find the dimensions of the sheet metal

Let x feet be the side of square metal sheet

Length of box=x-12 feet (because 6 feet removed from each corner)

Width of box=x-12 feet

Height of box=6 feet

Volume of box=864 cubic feet

We know that volume of cuboid= $l\times b\times h$

Box is in cuboid shaped

Therefore, volume of box= $6(x-12)(x-12)$

$6(x^2-24x+144)=864$

$x^2-24x+144=\frac{864}{6}$

$x^2-24x+144=144$

$x^2-24x+144-144=0$

$x(x-24)=0$

Then , $x=0 , x-24=0$

$x=24$

x=0 is not possible because side of square metal sheet can not be zero

Therefore, x=24

All sides of square metal sheet are equal.

Hence, side of square metal sheet =24 feet

4 0

4 years ago

Solve the inequality <br><br><br> what is the solution?

bija089 [108]

Answer:

The solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.

Step-by-step explanation:

Given the inequality

$2\ge \frac{g}{-4}$

switch sides

$\frac{g}{-4}\le \:2$

Multiply both sides by -1 (reverse the inequality)

$\frac{g\left(-1\right)}{-4}\ge \:2\left(-1\right)$

Simplify

$\frac{g}{4}\ge \:-2$

Multiply both sides by 4

$\frac{4g}{4}\ge \:4\left(-2\right)$

Simplify

$g\ge \:-8$

Therefore, the solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.

3 0

3 years ago